New design model for high efficiency cylindrical diffractive microlenses

A new model, i.e., the decreasing thickness model (DTM) is proposed and employed for designing the cylindrical diffractive microlenses (CDMs). Focal performances of the designed CDMs are theoretically investigated by solving Maxwell’s equations with the boundary element method. For comparison, the CDMs designed by the traditional equal thickness model (ETM) are also studied. Theoretical simulations demonstrate that focal performances of the designed CDMs are improved a lot via replacing the traditional ETM with the proposed DTM. Concretely, the focal efficiency is heightened and the focal spot size is shrunk. Experimental measurements verify the theoretical simulations well. Especially, the above-mentioned improvements become more prominent for the CDM with a higher numerical aperture.

[1]  Wen-feng Sun,et al.  Demonstration of a 3D Radar‐Like SERS Sensor Micro‐ and Nanofabricated on an Optical Fiber , 2015 .

[2]  L. Tong,et al.  In situ fabrication of a tunable microlens. , 2015, Optics letters.

[3]  J. Pu,et al.  Effective Fresnel number and the focal shifts of focused partially coherent beams. , 2007, Journal of the Optical Society of America. A, Optics, image science, and vision.

[4]  T K Gaylord,et al.  Effects of fabrication errors on the performance of cylindrical diffractive lenses: rigorous boundary-element method and scalar approximation. , 1998, Applied optics.

[5]  Ben-Yuan Gu,et al.  Analysis of a cylindrical microlens array with long focal depth by a rigorous boundary-element method and scalar approximations. , 2004, Applied optics.

[6]  Shangzhong Jin,et al.  Free-form microlens for illumination applications. , 2009, Applied optics.

[7]  Jia-sheng Ye,et al.  Applying the finite-thickness model to designs of cylindrical microlenses with small f-numbers , 2006 .

[8]  Lukas Chrostowski,et al.  Optical gratings: Nano-engineered lenses , 2010 .

[9]  Rajesh Menon,et al.  Chromatic-aberration-corrected diffractive lenses for ultra-broadband focusing , 2016, Scientific Reports.

[10]  Xianzhong Chen,et al.  Multifunctional metasurface lens for imaging and Fourier transform , 2016, Scientific Reports.

[11]  Thomas K. Gaylord,et al.  Scalar integral diffraction methods: unification, accuracy, and comparison with a rigorous boundary element method with application to diffractive cylindrical lenses , 1998 .

[12]  Baoping Zhang,et al.  Rigorous microlens design using vector electromagnetic method combined with simulated annealing optimization. , 2014, Optics express.

[13]  Thomas K. Gaylord,et al.  Rigorous electromagnetic analysis of diffractive cylindrical lenses , 1996 .

[14]  Qing Yang,et al.  Rapid fabrication of a large-area close-packed quasi-periodic microlens array on BK7 glass. , 2014, Optics letters.

[15]  Thomas K. Gaylord,et al.  Finite-substrate-thickness cylindrical diffractive lenses: exact and approximate boundary-element methods , 1999 .

[16]  Dennis W. Prather,et al.  Boundary integral methods applied to the analysis of diffractive optical elements , 1997 .

[17]  Yuan Yuan,et al.  Multi-focused microlens array optimization and light field imaging study based on Monte Carlo method. , 2017, Optics express.

[18]  Qiang Kan,et al.  A broadband terahertz ultrathin multi-focus lens , 2016, Scientific Reports.

[19]  Yasufumi Yamada,et al.  Design of binary diffractive microlenses with subwavelength structures using the genetic algorithm. , 2010, Optics express.

[20]  G. Schlingloff,et al.  Microlenses as Amplification for CCD-Based Detection Devices for Screening Applications in Biology, Biochemistry, and Chemistry. , 1998, Applied optics.

[21]  B. Dong,et al.  Improved first Rayleigh-sommerfeld method for analysis of cylindrical microlenses with small f-numbers. , 2004, Optics letters.

[22]  Shutian Liu,et al.  Design of microlenses with long focal depth based on the general focal length function. , 2007, Journal of the Optical Society of America. A, Optics, image science, and vision.

[23]  Xianzhong Chen,et al.  Longitudinal Multifoci Metalens for Circularly Polarized Light , 2015 .

[24]  Hakan Urey,et al.  Design and optimization of microlens array based high resolution beam steering system. , 2007, Optics express.

[25]  Mingguang Shan,et al.  Design and fabrication of diffractive microlens arrays with continuous relief for parallel laser direct writing. , 2008, Applied optics.

[26]  Zhengjun Liu,et al.  Coherent diffraction imaging by moving a lens. , 2016, Optics express.

[27]  C. Sheppard.  Cylindrical lenses--focusing and imaging: a review [Invited]. , 2013, Applied optics.

[28]  Harald Giessen,et al.  Two-photon direct laser writing of ultracompact multi-lens objectives , 2016, Nature Photonics.

[29]  Hong Liu,et al.  Fractal Holey Metal Microlenses with Significantly Suppressed Side Lobes and High‐Order Diffractions in Focusing , 2014 .

[30]  D W Prather,et al.  Performance of Multilevel Diffractive Lenses as a Function of f-Number. , 2001, Applied optics.

[31]  Lei Li,et al.  Design and fabrication of a freeform microlens array for a compact large-field-of-view compound-eye camera. , 2012, Applied optics.

[32]  Jari Turunen,et al.  Electromagnetic theory and design of diffractive-lens arrays , 1993 .

[33]  Shutian Liu,et al.  Focusing performance of the closed-boundary cylindrical microlenses analyzed by the boundary element method , 2006 .

[34]  Wen-feng Sun,et al.  [INVITED] A miniaturized optical fiber microphone with concentric nanorings grating and microsprings structured diaphragm , 2016 .